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Finding the Fourth Proportional to 972.92, 1,459.54 and 387.92

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Solution

The fourth proportional to 972.92, 1,459.54 and 387.92 is: 581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.92 : 1,459.54 = 387.92 : x
  2. Step 2: Convert to fraction form
    972.92/1,459.54 = 387.92/x
  3. Step 3: Cross multiply
    972.92x = 1,459.54 × 387.92
  4. Step 4: Simplify right side
    972.92x = 566,188.89
  5. Step 5: Solve for x
    x = 566,188.89/972.92
  6. Step 6: Final answer
    x = 581.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.